• DocumentCode
    3663430
  • Title

    Counterexample to the generalized belfiore-solé secrecy function conjecture for l-modular lattices

  • Author

    Anne-Maria Ernvall-Hytönen;B.A. Sethuraman

  • Author_Institution
    Department of Mathematics and Statistics, 00014 University of Helsinki, Finland
  • fYear
    2015
  • fDate
    6/1/2015 12:00:00 AM
  • Firstpage
    2466
  • Lastpage
    2469
  • Abstract
    We show that the secrecy function conjecture that states that the maximum of the secrecy function of an l-modular lattice occurs at 1/√(l) is false, by proving that the 4-modular lattice C(4) = ℤ⊕√(2)ℤ ⊕ 2ℤ fails to satisfy this conjecture.
  • Keywords
    "Lattices","Zinc","Electronic mail","Encoding","Jacobian matrices"
  • Publisher
    ieee
  • Conference_Titel
    Information Theory (ISIT), 2015 IEEE International Symposium on
  • Electronic_ISBN
    2157-8117
  • Type

    conf

  • DOI
    10.1109/ISIT.2015.7282899
  • Filename
    7282899
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3663430